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Finding the Third Proportional to 153,235,759,959 and 358,027,891,627.50

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Solution

The third proportional to 153,235,759,959 and 358,027,891,627.50 is: 836,514,735,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,235,759,959 : 358,027,891,627.50 = 358,027,891,627.50 : x
  2. Step 2: Convert to fraction form
    153,235,759,959/358,027,891,627.50 = 358,027,891,627.50/x
  3. Step 3: Cross multiply
    153,235,759,959x = 358,027,891,627.50 × 358,027,891,627.50
  4. Step 4: Simplify right side
    153,235,759,959x = 128,183,971,183,232,878,116,864
  5. Step 5: Solve for x
    x = 128,183,971,183,232,878,116,864/153,235,759,959
  6. Step 6: Final answer
    x = 836,514,735,317.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.